3 papers
math.PR2026
Limiting spectral distribution for the adjacency matrix of the Watts-Strogatz random graph
Grégoire Meunier, Sean O'Rourke
The Watts-Strogatz random graph model on vertices with parameters (a positive even integer) and is constructed in two steps. First, one starts with a ring la…
math.PR2026
Real roots of non-centered random polynomials
Yen Q. Do, Nhan D. V. Nguyen, Sean O'Rourke
We study the fluctuations of the number of real roots of random polynomials with independent, nonzero-mean coefficients. Such non-centered ensembles arise naturally in signal-plus-…
math.PR2024
Extreme eigenvalues of Laplacian random matrices with Gaussian entries
Andrew Campbell, Kyle Luh, Sean O'Rourke +2
A Laplacian matrix is a real symmetric matrix whose row and column sums are zero. We investigate the limiting distribution of the largest eigenvalues of a Laplacian random matrix w…